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Brezis' exercise 4.14: Egorov theorem

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#measure-theory #solution-verification #uniform-convergence
69
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Relationship between limit of sequence and essential supremum

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#real-analysis #limits #analysis #uniform-convergence
75
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Uniform Convergence of Derivative and Fundamental Theorem of Calculus

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#real-analysis #uniform-convergence
74
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Functional series convergence

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#sequences-and-series #uniform-convergence
63
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Uniform Convergence on an open interval

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#calculus #analysis #uniform-convergence
50
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Sequence definition of continuity for function on $\mathbb R^\mathbb N$

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#functional-analysis #continuity #uniform-convergence #pointwise-convergence
79
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If $f_n(x)$ uniformly converges to a bounded function $f(x)$, then $f_n(x)$ is bounded for all $n \in \Bbb{N^+}$ ？

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#real-analysis #sequences-and-series #solution-verification #uniform-convergence #sequence-of-function
81
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Finding a polynomial of degree 3 from a Fourier serie

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#sequences-and-series #polynomials #fourier-series #uniform-convergence
149
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Finding a sequence of step functions which converges uniformly to $x^c$ on $[1,b]$

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#real-analysis #uniform-convergence #step-function
56
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Disproving uniform convergency by definition

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#real-analysis #uniform-convergence
28
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Absolute value of a uniform convergent sequence

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#solution-verification #uniform-convergence
84
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Uniform convergence of $f_n(x)=n^\alpha x(1-x^2)^n$

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#real-analysis #functions #uniform-convergence
40
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Can i exchange limit and derivation for this sequence?

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#calculus #sequences-and-series #uniform-convergence
66
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Uniform convergence for improper integrals dependig on a parameter

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#integration #definite-integrals #improper-integrals #uniform-convergence
54
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Does this sum converge uniformly?

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#sequences-and-series #complex-analysis #uniform-convergence #harmonic-analysis

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